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Splash Screen

Splash Screen. Chapter 8. Lesson 8 - 8. (over Lesson 8-1). A B C D. Which expression represents the perimeter of the triangle?. A. 5 x + 1 B. 3 x C. 2 x – 1 D. 6 x. (over Lesson 8-4). A B C D. Solve: 4 n – 3 = 2 n + 7. A. 5 B. 2 C. –2 D. –5.

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Splash Screen

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  1. Splash Screen Chapter 8 Lesson 8-8

  2. (over Lesson 8-1) • A • B • C • D Which expression represents the perimeter of the triangle? A. 5x + 1 B. 3x C. 2x – 1 D. 6x

  3. (over Lesson 8-4) • A • B • C • D Solve: 4n – 3 = 2n + 7 A. 5 B. 2 C. –2 D. –5

  4. (over Lesson 8-6) • A • B • C • D Write an inequality for the sentence. A grade of no less than 90 is considered an "A." A.g> 90 B.g≥ 90 C.g< 90 D.g≤ 90

  5. 5Min 7-4 (over Lesson 8-6) • A • B For the given value, state whether the inequality is true or false.y– 15 ≤ –7;y= 8 A. true B. false

  6. (over Lesson 8-6) • A • B • C • D Which inequality is graphed on the number line? A.n > 5 B.n≥ 5 C.n < 5 D.n≤ 5

  7. (over Lesson 8-7) • A • B • C • D Solve: y – 8 < –3 A.y < 5 B.y < –5 C.y < 11 D.y > –11

  8. (over Lesson 8-7) • A • B • C • D Solve: –6 ≤ 7 + g A.g≥ 1 B.g≤ –13 C.g≥ –13 D.g≤ 1

  9. Solve inequalities by using the Multiplication or Division Properties of Inequality.

  10. Standard 7AF1.1Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description(e.g. three less than a number, half as large as area A). Standard 7AF4.1Solvetwo-step linearequations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.

  11. Better Look Closely! Or You’ll Be Left Behind! It’s Different! It’s New!

  12. Study these carefully: 7y > -42 -7y > -42 7y > -42 7 7 7y > -42 -7 -7 y > -6 y < 6 Think about what you see.

  13. Now study these carefully: a a ≥ ≥ 8 8 -2 2 a a a a -16 8 8 16 -2 2 ≥ ≥ ≥ ≤ -2  2  -2 2 Notice anything similar to the last slide?

  14. Let’s take a 2nd look: 7y > -42 a a -7y > -42 ≥ ≥ 8 8 2 -2 7y > -42 7 7 a a 7y > -42 -7 -7 a a 8 8 16 -16 2 -2 ≥ ≥ ≥ ≤ 2 -2 2 -2 y > -6 y < 6 So why didn’t these signs reverse? But these signs did reverse.

  15. New rule! New rule! New rule! Okay, so here’s a new rule! New rule! New rule! New rule!

  16. When dividing or multiplying by a negative in solving an inequality, reverse the sign in your final answer. When dividing or multiplying by a negative in solving an inequality, reverse the sign in your final answer. When dividing or multiplying by a negative in solving an inequality, reverse the sign in your final answer. When dividing or multiplying by a negative in solving an inequality, reverse the sign in your final answer. When dividing or multiplying by a negative in solving an inequality, reverse the sign in your final answer.

  17. Solve Inequalities by Dividing Solve: 6x < –30

  18. Solve Inequalities by Multiplying 1 2 Solve: p ≥ 9

  19. Multiply or Divide by a Negative Number b -4 Solve: ≤ 5

  20. Multiply or Divide by a Negative Number Solve: -4n > –60

  21. Solve 4x < –24. • A • B • C • D A.x < –6 B.x < 6 C.x > –6 D.x > 6

  22. > 5 • A • B • C • D A.p < 10 B.p > –10 C.p > 10 D.p > 7

  23. n -2 Solve: ≤ 7 • A • B • C • D A.n>14 B.n≥ –14 C.n≤14 D.n < –14

  24. Solve: –3n> –18 • A • B • C • D A.n< 6 B.n< –6 C.n> 6 D.n> –6

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